I think this is my third post regarding the Comparison theorem. I can rarely tell if my reasoning is correct when using this theorem. Please LMK if I'm wrong. I want determine if the following is convergent:

Since diverges, the integral diverges by the Comparison Theorem.

(Thinking)

Dec 14th 2009, 08:20 PM

Drexel28

Quote:

Originally Posted by adkinsjr

I think this is my third post regarding the Comparison theorem. I can rarely tell if my reasoning is correct when using this theorem. Please LMK if I'm wrong. I want determine if the following is convergent:

Since diverges, the integral diverges by the Comparison Theorem.

(Thinking)

You are a tad off. Note that . Taking the integral of the terms leads to the result that the integral converges.